Simplifying the given expression [tex] (\frac{x^{3}y}{z^{4}})^{\frac{2}{3}} [/tex]
=[tex] \frac{(x^{3})^{\frac{2}{3}}y^{\frac{2}{3}}}{z^{4^{\frac{2}{3}}}} [/tex]
Cancelling 3 in the power of variable x.
Applying the law of exponent which states that [tex] (a^{m})^{n} = a^{m \times n} [/tex]
=[tex] \frac{x^{2}y^{\frac{2}{3}}}{z^{{\frac{8}{3}}}} [/tex]